A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answers
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
Related Questions
2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?
Answers
Answer:
The correct calculation is 180 - 56
Step-by-step explanation:
From the question, we have DCG and DCF
looking at the diagram, we can see that both lie on a straight line and are a linear pair
So the addition of both will give 180
But DCG is 56
So;
DCF + 56 = 180
So;
DCF = 180 - 56
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Pls help!
Answers
Answer:
5 7th Graders
Step-by-step explanation:
Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders
How many degrees are in one interior angle of a regular octagon?
Answers
Answer:
135
Step-by-step explanation:
this is the formula:
to find the sum of the interor angles of any polygon
180(n-2)
n= the number of sides a polygon has
you can find each indivual angle value or measure by dividing that sum you get by n
Answer:
135 degrees :)
Step-by-step explanation:
12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c
Answers
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answers
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
How do you solve 26 = 18v Equation
Answers
Answer:
v = 1.444
Step-by-step explanation:
v = 26/18
v = 1.444
Answer:
26 = 18v
=> 26 / 18 = v (By the law of transposition)
=> 13/9 = v
=> 1.44444 repeating = v (After solving)
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Suppose y varies inversely with x, and y = 39 when x = 13. What is the value of y when x = 26 ?
Answers
9514 1404 393
Answer:
y = 39/2 = 19.5
Step-by-step explanation:
When x is multiplied by 2 from 13 to 26, y will be multiplied by the inverse of that:
y = (1/2)(39) = 39/2 = 19.5
a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?
Answers
Answer:
D
Step-by-step explanation:
You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2
a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.
The tax rate schedule gives the following information: If your filing status is and the amt on line But not over The tax is 11b is more than $12,750 $60,000 $765 + 7% of the amount over $12.750 Single Calculate the taxed owed by a single taxpayer whose taxable income was $38.650.
Answers
Answer:
PLSS HELP I NEED TO AWNSER HOW DO I?
Step-by-step explanation:
A florist shop represents its first month’s sales with the equation y = 168 x + 8, where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?
Substitute 3,200 for x.
Add 8 and 3,200.
Divide 3,192 by 168.
Isolate y in the equation.
Answers
Answer:
c is correct
Step-by-step explanation:i took the test
Answer:
C
Step-by-step explanation:
use synthetic division
f(x) = x^3 - 6x + 1 for x = 6
ILL MARK BRAINLIST IF ITS RIGHT !!!
Answers
Answer:
181
Step-by-step explanation:
Hope this helps!
what do reflections have that dilation do not
Answers
Answer:
A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.
6
13 Which statement about ş multiplied by 4 must be true?
The product is between 6 and 7.
B
6
The product is less than
7.
6
The product is between 5 and 4.
The product is greater than 4.
Answers
Below is the augmented matrix using the standard form of a quadratic equation that can help you write the quadratic equation going through the 3 points: \large \text{(-1,11) } \large \text{(1,5)} and \large \text{(2,11)} Hint: standard form \large ax^2+bx+c=y
Answers
Answer:
1.23
Step-by-step explanation:
123
Ali invests $4,078 in a retirement account with a fixed annual interest rate of 7% compounded
continuously. What will the account balance be after 14 years? (round your answer to the nearest
dollar, and do NOT put a $ in your answer.
Answers
Answer:
The account balance will be $10,866 after 14 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex]
A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate t = the time the money is invested forLet us use this rule to solve the question
∵ Ali invests $4,078 in a retirement account
∴ P = 4,078
∵ The account with a fixed annual interest rate of 7% compounded
continuously
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∵ The time is 14 years
∴ t = 14
Substitute these values in the rule above to find A
∵ [tex]A=4,078(e)^{0.07(14)}[/tex]
→ Use the calculator to find the value of A
∴ A = 10,865.65255
→ Round it to the nearest dollar
∴ A = $10,866
∴ The account balance will be $10,866 after 14 years
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Answers
w=131
h=98
6>>>>>>>(3 3 )
4>>>>>>>( 1 2 )
3>>>>>>>( 1 4 )
5>>>>≥>>( 2 9 )
1>>>>>>>( ? )
7>>>>>>>( 5 4 )
Who will solve the above puzzle ?
Answers
At ice skating lessons Sarah attempts to do a 360 degree spin, but only manages a quarter-turn on her first attempt
How many degrees short of her goal was Sarah's first attempt?
degrees
Answers
Answer:
Im sorry if this is wrong.
a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short
Step-by-step explanation:
The degree of spin Sarah wants to = 360 degrees
Hence, 1 turn = 360 degrees
Sarah does a quarter turn
A quarter is equivalent to : [tex]\frac{1}{4}[/tex]
So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees
= 90 degrees.
The number of degrees short of her goal that Sarah was of her first attempt is calculated as :
360 degrees - 90 degrees
= 270 degrees.
Therefore, Sarah was 270 degrees short of her goal at her first attempt.
To learn more, visit the link below:
brainly.com/question/19695338
If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2
Answers
Answer:
x = -2 or x = -1/2
Step-by-step explanation:
We can just set up an equation where the quadratic is equal to -10, and then solve the equation:
[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]
Now, factor:
[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]
10 is 6% of what
number?
Answers
Answer:
60
Step-by-step explanation:
10 × 6 is 60. if it asks the % of a number, you multiply the number by %
Answer:
60
Step-by-step explanation:
hope this helps
What is the value of 9.6 dived by 1.2
Answers
Answer:
8
Step-by-step explanation:
1.2 * 8 = 9.6
Determine the domain, range and whether each table represents a function.
Answers
The range is the possible y values- which are 4,6,8 .
Yes it does represent a function because each element of X is related to ONE element of y.
Hope that helped!
==========================================================
Explanation:
The domain is the set of all possible x values. The range is the set of all possible y values.
Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.
which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)
Answers
Answer:
y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus
y - 2 = [tex]\frac{1}{3}[/tex](x - 3)
Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .
To Find : The equation of that line .
Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;
[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]
Where ,
a is x - coordinate.b is y - coordinate .m is the slope of the line .Here ,
a = 3 b = -2m = ⅓ .Now , put the respective values ;
[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]
can you help me please with my homework
Answers
2. The sum of the measures of the exterior angles of a triangle equals: 60 180 270 360
Answers
Answer:
360
Step-by-step explanation:
the intirior angles equals 180 so ttthe outside have to equal 360
choose the equation that represents the graph below A. y = -2x - 4 B. y equals 2x + 4 C. y equals -2 + 4 D. y = 2x - 4
Answers
Question 1 Consider the equation 8x + 4y = 64. If we graph the equation, what is the slope of the graph?
Answers
Answer:
The slope is 2
Step-by-step explanation:
common factor the GCF of 27y^2 and 36^3
Answers
Given y = -7x + 7, the y-intercept is
Answers
Answer:
The y-intercept is 7
Step-by-step explanation:
y = slope(x) + y-intercept
Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region
Answers
Answer: 1380
Step-by-step explanation:
We have been given that population density is the number of people per unit of area.
Therefore, the population of the region would be 1380 people.